Divide. Write the quotient in lowest terms. 4(4)/(5)÷1(1)/(2)=

Rewrite division as multiplication: Rewrite the division problem as a multiplication problem by taking the reciprocal of the second fraction. 4(4)/5 ÷ 1(1)/2 can be rewritten as 4(4)/5 × 2/1(1).Simplify mixed numbers: Simplify the mixed numbers into improper fractions. 4(4)/5 is the same as (20 + 4)/5, which simplifies to 24/5. 1(1)/2 is the same as (2 + 1)/2, which simplifies to 3/2. Now the expression is (24/5) × (2/1).Multiply numerators and denominators: Multiply the numerators and the denominators. (24/5) × (2/1) = (24 × 2)/(5 × 1) = 48/5.Check for further simplification: Check if the fraction can be simplified further. 48/5 is already in its simplest form because 48 and 5 have no common factors other than 1.

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Divide. Write the quotient in lowest terms.

4(4)/(5)÷1(1)/(2)=

Divide. Write the quotient in lowest terms. $\newline$ $4 \frac{4}{5} \div 1 \frac{1}{2}=$

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Algebra 2

Multiply and divide rational expressions

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Q. Divide. Write the quotient in lowest terms.

\newline

4 \frac{4}{5} \div 1 \frac{1}{2}=

Rewrite division as multiplication: Rewrite the division problem as a multiplication problem by taking the reciprocal of the second fraction. $\newline$ $\frac{4}{5} \div \frac{1}{2}$ can be rewritten as $\frac{4}{5} \times \frac{2}{1}$ .
Simplify mixed numbers: Simplify the mixed numbers into improper fractions. $\newline$ $4\left(\frac{4}{5}\right)$ is the same as $\left(20 + 4\right)/5$ , which simplifies to $\frac{24}{5}$ . $\newline$ $1\left(\frac{1}{2}\right)$ is the same as $\left(2 + 1\right)/2$ , which simplifies to $\frac{3}{2}$ . $\newline$ Now the expression is $\left(\frac{24}{5}\right) \times \left(\frac{2}{1}\right)$ .
Multiply numerators and denominators: Multiply the numerators and the denominators. $\newline$ $(\frac{24}{5}) \times (\frac{2}{1}) = (\frac{24 \times 2}{5 \times 1}) = \frac{48}{5}$ .
Check for further simplification: Check if the fraction can be simplified further. $\frac{48}{5}$ is already in its simplest form because $48$ and $5$ have no common factors other than $1$ .